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~ INSTRUCTION MANUAL

Engineering Math II

Radio Shaek

A DIVISION OF TANDY CORPORATION
FORT WORTH, TEXAS 76102

Engineering Math II Program:
©1981 Tandy Corporation
All Rights Reserved.

Engineering Math Il Program Manual:
©1982 Tandy Corporation
All Rights Reserved.

Reproduction or use, without express written permis-
sion from Tandy Corporation, of any portion of this
manual is prohibited. While reasonable efforts have
been taken in the preparation of this manual to assure
its accuracy, Tandy Corporation assumes no liability
resulting from any errors or omissions in this manual, or
from the use of the information obtained herein.

Please refer to the Software License on the inside back
cover of this manual for limitations on use and
reproduction of this Software package.

10987654321

Table of Contents

HPOUUCHOR cc..6 lees Ga Loe ee ea hb ae 4
Vector Arithmetic .............0..000.. 2
CIB A ORG seine are datecacien Ao acire Between 2
AGG 2 vin kc tad Sao dette asteweh am 3
SUDEACH YS c.2 wi tiac neanedee ob sco a acs 3
DOtRroduct.iti isa tstedeaeniacinan 3
Cross \ieoe CP hae peat ORNS SES a 3
Angle Computation................ 3
Polar to. Rectangular
Coordinate Conversion ........ 3
Rectangular to Polar
Coordinate Conversion ........ 3
Change Mode .................... 3
Variable List... 0.00. ........00..0088 4
Complex Arithmetic for the
Pocket Computer ............. §

Variable List... ......0. 0.0 .ce cco ee 7

Advanced Trig and

Exponentiation ............... 8
MOdCS sic ik esheets aia eel gue ths 9

Changing the Mode............ 9
Using the Trig Functions ........... 9
Using the Logarithm Function....... 9
Exponentiation ................45. 10
Permissible Numerical Ranges

for Functions ................. 10
Variable List...... 2. cece cece ee VW

Appendices

A—Functions of the Engineering

Math Packages ............... 12
B—Makinga Backup .............. 14
C—Maintenance.................. 16

Introduction

Engineering Math II consists of three programs:

Program Description

VECTOR Vector arithmetic

COMPLEX Complex arithmetic

ADVMATH Advanced trig and exponentials

The functions of the programs are as follows:

i
VECTOR provides all common vector operations in
three dimensions in both Cartesian and polar
coordinates: addition, subtraction, dot product, cross
product, angle between two vectors, and direct
conversion of a vector between rectangular and polar
coordinate systems. Chain operations are allowed.
The mode may be changed between polar and
rectangular at any point during program execution
without adversely affecting intermediate results.

COMPLEX provides for the most common complex
number arithmetic operations: addition, subtraction,
multiplication, division, calculation of magnitude,
conjugation, base-e logarithms, e to complex powers,
sines, cosines, arc sines, and arc cosines. Chain
operations are allowed. .

ADVMATH provides 24 common trig functions in
degree or radian measure. It also provides logarithms
to any base and an exponentiation function which
can raise negative numbers to positive or integral
negative powers.

At the end of each section of the manual, there is a
description of the program variables. These may be
useful if you want to examine intermediate results.
Use the Backup instructions in Appendix B to make a
working copy of the tape. See Appendix C for
Maintenance instructions.

Vector Arithmetic

This program will perform most common vector
operations in three dimensions. it can use either
rectangular or polar coordinates, and in the polar
mode can use radian, degree, or grad units of arc.

To joad VECTOR, insert the tape in the recorder and
press the ‘Play’ key. Turn the computer on, make
sure the mode is set to DEF, then type:
ODOMPMaAMEAMAO A and
press CEN . After the prompt sign (>) appears,
press (SHF TICSPC).

The program will start itself in the rectangular mode.

First, it will display the program title: VECTOR
ARITHMETIC. Press CENTER) and the copyright
notice will be shown briefly before the menu starts.

_. Press CENTER) to see the available operations one

at a time, along with the shift-letter command which
will start each operation. These are:

CLEAR: SHFT-C

ADD: SHFT-A

SUBTRACT: SHFT-S

DOT PRODUCT: SHFT-D
CROSS PRODUCT: SHFT-X
ANGLE COMPUTATION: SHFT-V
POLAR TO RECT: SHFT-F

RECT 70 POLAR: SHFT-G
CHANGE MODE: SHFT-M
SHFT-K TO RE-ENTER MENU

if the end of the menu is reached, the program will
end. This is to prevent repeated listings of the menu
if the Pocket Computer has a printer attached.
(SHE TK) wil restart the menu without restarting
the program.

The same input routine is used for all operations. The
first display will be: FIRST VECTOR. it will then ask for
X, Y, and Z (rectangular mode) or MAGNITUDE, PHI,
and THETA (polar mode). SECOND VECTOR wiil be
displayed and the input routine wiil be repeated.

Starting any option will cause the program to ask for
any needed information, display the results, then
stop and await the next command. For chained
Operations, such as a series of additions, press
CENTER) in response to the first input question (X?
or MAGNITUDE?, depending on the mode). This will
cause the result of the last calculation to be loaded
as the first operand.

Clear

will also reset the mode to rectanguiar.

Add

Press (SHF T)(A) to add one vector to another.

Subtract

Press (SHF T)CS) to subtract one vector from
another.

Dot Product

Press (SHF 1)(D) to calculate the dot product of
two vectors.

Cross Product

Press (SHET (XD) to calculate the cross product of
two vectors.

Angle Computation

Press (SHE 1)(V) to calculate the angle between
two vectors.

Polar to Rectangular Coordinate
Conversion

Press (SHFT) to convert a vector from polar to
rectangular coordinates. This operation is
independent of the set mode and does not affect any
of the temporary resuits held by the computer.

Note: This routine will call the input routine fora
single vector. You must enter the vector you want to
convert in response to the FIRST VECTOR statement.

Rectangular to Polar Coordinate
Conversion

Press SHF T)(G) to convert a vector from
rectangular to polar coordinates. This operation is
independent of the set mode and does not affect any
of the temporary results held by the computer.

Change Mode

Press (SHE T)M) to switch modes from rectangular
to polar or from polar to rectangular. The new mode
will be displayed briefly. This operation does not
affect the contents of the accumulator. In

rectangular mode, all input and output is in terms of
magnitude, phi, and theta, where phi is the clockwise
angle from the X axis to the projection of the vector
on the XY plane, and theta is the angle from the XY
plane to the vector.

Exampis

(1x + 2y +3z}) + (-2x+1y—z) = (—1x+3y +22)
Computer displays: You type:

> (SHEDA)
FIRST VECTOR Displays briefly
X? COENTER)

Y? ENTER)

2? (QXENTER)
SECOND VECTOR Displays briefly
XP CO@XENTER)
5 nae COCENTER)

2? COCENTER)
X=-1.° CENTER)

Y=3. (ENTER)

Z=2, CENTER)

>

Variable List

A—X In Accum

B—Y In Accum

C—Z In Accum

X—X

Y-Y

Z—Z

G-I—Dummies and Holders
J—Magnitude

K—THETA

L—PHI

M—Mode: 0 = RECTANGULAR, 1 = POLAR
N-P—Holders

Q—Early Return Flag
R—Holder

Complex Arithmetic for the Pocket
Computer

This program allows complex numbers to be added,
subtracted, multiplied, divided, or conjugated. It also
allows for the calculation of natural (base-e)
logarithms, natural anti-logarithms, sines, cosines,
arc sines, and arc cosines. These functions may be
used in conjunction with the program’s chaining
capability to complete almost any caiculation.

Please note that this program starts and runs only in
RADIAN mode. All trig and exponential functions
assume radian input and display radian resuits.
Attempting to reset the mode to DEGREE or GRAD will
result in inaccuracies in trig and exponential
functions.

|

To load COMPLEX, insert the tape in the recorder and
press the “Play” key. Turn the computer on, make
sure the mode is set to DEF, then type:
ODOAMMAIOM EDC and

press (ENTER). After the prompt sign (>) appears,
press (SHF T)(SPC). The program title will be
displayed: COMPLEX ARITHMETIC. Press (ENTER)
and the copyright notice will be displayed for about a
second, then the command prompt will appear:

> READY.

The desired operation is selected by pressing the
(GHET) key followed by a letter:

to ADD, press (SHF T)(A)

to SUBTRACT, press SHF TICS)

to MULTIPLY, press GHF TM)

to DIVIDE, press GHF TID)

to CONJUGATE, press (SHF TC)

to calculate MAGNITUDE, press (SHF T)(Z)

to calculate Natural LOGARITHM, press G@HFT)VL)
to calculate Natural ANTILOG, press (G@HF TK)
to calculate SINE, press GG@HF TIC)

to calculate COSINE, press (GSHF T)CG>

to calculate ARC SINE, press GHFT)(H)

to calculate ARC COSINE, press (SHF1T>GJ)

to return to >READY, press (SHF TIX)

to REDISPLAY LAST ANSWER, press (SHF TMG)

The same input routine is used for all operations. In
rectangular mode, the first question is: 1ST NUMBER
REAL? Enter the real portion of the first number, Next
is: 1ST NUMBER IMAGINARY? Reply with the imaginary
part of the first number. If the chosen operation is
monadic (one that requires only one operand), the
input routine will end at this point.

In polar mode, you are asked for magnitude and
phase angle rather than real and imaginary
components.

Note: You may use the result of the last computation
as an operand by pressing (ENTER) in response to:
1ST NUMBER REAL? {f this is done, the input routine
will load the result of the last computation as the
first operand of the new operation and skip to: 2ND
NUMBER REAL?

Next comes: 2ND NUMBER REAL? and 2ND NUMBER
IMAGINARY? When all data has been entered, the
computer will beep once when the answer is ready
and display the result with the reat portion on the left
half of the display and the imaginary portion on the
right.

The real and/or imaginary part of the second number
may be kept unchanged by pressing (ENTER) in
response to either: 2ND NUMBER REAL? or: 2ND
NUMBER IMAGINARY? In either case, when CENTER)
is pressed, the old value of the number asked for will
be displayed briefly and retained.

Computation of magnitude does not change the
numbers stored by the program. Instead, magnitude
is calculated and displayed separately. The
magnitude is not kept as a new “1st number";
instead the complex number whose magnitude was
computed is kept.

You can combine the functions available in this
program to evaluate many other factors. For example,

6

in raising a complex number to a complex power,
recall that if we take the log of the first number,
multiply that by the second, and raise e to the
resulting power, we've effectively raised the first
number to the second power. To raise 2+ 3i to the
5+2i power, we could conduct the following
operations:

Computer displays: You type:

> READY (SHFTT)
LOGARITHM Displays briefly
1ST NUMBER REAL? QiYENTER)
1ST NUMBER IMAGINARY? G@ICENTER)
(BEEP)

1.282474679 9,82793E-01 GHED@™)
MULTIPLY Displays briefly
1ST NUMBER REAL? (ENTER)

2ND NUMBER REAL? (CENTER)
2ND NUMBER IMAGINARY? (2.ENTER)
(BEEP)

4446785949 7.478917974 (SHFTVK)
E“Xx Displays briefly
1ST NUMBER REAL?
(BEEP)

31.26721338 79.41886041

Your Answer: 31.267 + 79.4191

‘With this method and the COMPLEX program’s ability
to chain easily (as demonstrated above), it can
complete just about any calculation.

Note: Not all complex math problems have unique
answers. Operations such as logarithm have multiple
but equally correct solutions; hence when this
program conducts extraction of logs or an inverse
trig function (which uses logarithms) the answer may
not be the obvious one. Usually it will be—but the
answer will always be a correct one. Just remember
that it may not be the correct answer!

The following algorithms are used:

Conjugation: (A + Bi) = (A— Bi)
Magnitude: = SQR(AA + BB)
Addition: (A+ Bi) + (C+Di) = (A+C) + (B+ D)i
Subtraction: (A+ Bi) - (C+ Di) = (A—C) + (B-D)i
Multiplication: (A + Bi) * (C+ Di) = (AC— BD) +
(AD + BC)i
Division: (A + Bi) /(C + Di) = (AG + BD)(CC + DD) +
(BC ~ AD)(CC + DD))i
Logarithm: (compiex— examine code if interested)
e to the z:e*(A+Bi) = e* A COS(B) + e “A SIN(B)i
Sine: SIN(A + Bi) = (SIN(A)*(e * -B +e“ B)V2 +
(COS(A)*(e"B —e* - B)2i

Cosine: COS(A + Bi) = (COS(A)(e* —B +e *B)/2 +

(SIN(A)*(e “ —B -e * B)y2 i
Arc sine: ASIN(Z) = —i Ln(i(Z+ SQR(ZZ— 1)
Arc cosine: ACOS(Z) = -—i Ln(Z+SQR(ZZ-— 1)

When the result of the last computation is used as
an operand, it is used as the first (A+ Bi in the
algorithms).

Variable List

A—1st Number Real and Result Real

B—1st Number imaginary and Result Imaginary

C—2nd Number Real

D—2nd Number Imaginary

E—Holder for Incomplete Calculations and
Magnitude

F—Holder for Incomplete Calculations and Return
Flag

G—Holder for Incomplete Calcutations: Real

H—Holder for Incomplete Calculations: Imaginary

|—Error-Present Flag

J—Single-Operand Flag

K—Sign Flag in Inverse Sine/Cosine Computations

Advanced Trig and Exponentiation

This program allows the Pocket Computer to evaluate
advanced trigonometric and exponential functions.

To load ADVMATH, insert the tape in the recorder and
press the “Play” key. Turn the computer on, make
sure the mode is set to DEF, then type:
ODOMOOOAMMMGDAC

and press (ENTER). After the prompt sign (>)
appears, press (SHF T)(SPC). The program name
will be displayed first: ADVANCED MATH. Press
(ENTER) to clear this display and start the menu,
from which functions are called by number:

(C) 1981 TANDY CORP.
SELECT FUNCTION BY NUMBER:
CHANGE MODE (RAD/DEG)O

Note: This program does not send the menu to the
printer.

The following functions are provided:
Number = Function Abbreviation
Ga Change Modes, DEG/RAD None

Map Sine SIN
Cosine cos

8

we Tangent

We) Cotangent

@@ ~ Secant

@e) ~—Cosecant

Arc Sine

Arc Cosine

Arc Tangent

Mw Arc Cotangent

QD sAre Secant

@M@ Arc Cosecant

Mw Hyperbolic Sine

D@ Hyperbolic Cosine
CD@® Hyperbolic Tangent

[en e:3) Hyperbolic Cotangent
(@ _ Hyperbolic Secant
Me) Hyperbolic Cosecant
[cB.E:3) Arg Hyperbolic Sine
Arg Hyperbolic Cosine
0) Arg Hyperbolic Tangent
om Arg Hyperbolic Cotangent
eR ED) Arg Hyperbolic Secant
ace Arg Hyperbolic Cosecant
Bes) LOGn(x)

[ea e-D) X to the Y

TAN
COT
SEC
csc
ASIN
ACOS
ATAN
ACOT
ASEC
ACSC
SINH
COSH
TANH
COTH
SECH
CSCH
ASINH
ACOSH
ATANH
ACOTH
ASECH
ACSCH
LOGN
none

Any function may be called from any line of the

menu.

Modes

The 12 circular trig functions may be evaluated in
either degrees or radians, as set through program
option 0. The 12 hyperbolic functions are always
evaluated in radian measure, regardless of the mode.
The current mode (DEG or RAD) is displayed near the
top left of the Pocket Computer display window.

Changing the Mode

Enter option (@). The mode will be changed. If it is
RADian, it will change to DEGree. If the mode is
DEGree, it will change to RADian. The new mode wilt
appear in the top left of the display window.

Using the Trig Functions

Just call the function by number. The program will
ask for the number to be evaluated: ARGUMENT?,
then beep after calculations are compieted (this may
take a couple of seconds) and display the answer.
Pressing (ENTER) will end the answer display and
return to the menu,

You may reuse the iast argument entered by pressing
ENTER) when asked for the argument. The

program wilt display: + and the old argument. You
may also use the result of the last computation as
the new argument by entering (A) in response to:
ARGUMENT?

Using the Logarithm Function

Call it by entering (2)CS). The program will first ask:
ARGUMENT? Answer with the positive number whose
logarithms you want. Next it will ask: BASE? Reply
with a positive number. The program will then
perform the required calculations and display the
answer.

Example
Find log (9).

Computer displays: You type:

ARGUMENT? (@SENTERS
BASE? (DENTER
(BEEP)

3.

Find log (10).

Computer displays: You type:
ARGUMENT? WM@ENTER)
BASE? GOENTER)
(BEEP)

1.430676558

Exponentiation

This function allows you to raise any positive number
to any power, and a negative number to a positive or
integral negative power. First, the program will ask:
ARGUMENT? Enter the number you wish to
exponentiate. Next, it will ask: EXPONENT? Reply with
the power to which you wish to raise the argument.
The program will then display the answer.

Permissible Numerical Ranges for
Functions

Entry of an argument for which the function cailed

cannot be evaluated will cause the program to beep
three times and display: ILLEGAL, then return to the
menu.

The following list details the numerical range of
arguments for which each function is defined:

10

Function Defined Range Undefined Points

SIN
cos
TAN
coT
SEC
csc
ASIN
ACOS
ATAN
ACOT
ASEC
ACSC
SINH
COSH
TANH
COTH
SECH
CSCH
ASINH
ACOSH
ATANH
ACOTH
ASECH
ACSCH

No Limits
No Limits
No Limits
No Limits
No Limits
No Limits
ABS(X) < = 1
ABS(X) < = 1
No Limits
No Limits
ABS(X) > = 1
ABS(X) > = 1
No Limits

No Limits

No Limits

No Limits

No Limits

No Limits
No Limits
X>=1
ABS(X) < 1
ABS(X) > 1
0<X<=1
No Limits

Within Range

None
None
Pl2 + n*Pl
0, NPI
Pl2 + n«PI
0, n*PI
None
None
None
None
None
None
None
None
None
0
None
0
None
None
None
None
0

0

Variable List

A—Result Holder

B—Argument

C—Mode Flag

D—Branching Dummy

R,S—Sign Flags for Exponentiation

W

Appendix A

The four Engineering Math packages consist of nine
programs designed to handie a variety of algebraic
and elementary calculus problems. The contents of
the packages are:

Package Program Description

Engineering GAUSS Gaussian matrix

Math | reduction

(26-3525) MATMUL Matrix multiplication
MATINV Matrix inversion

Vector arithmetic
Complex arithmetic
Advanced trig and
exponentials

Engineering VECTOR
Math II COMPLEX
(26-3526) ADVMATH

Engineering SIMEQ Linear simultaneous

Math Itt equations

(26-3527) PCALC Polynomial math and
calculus

Engineering TRIANG
Math IV
(26-3528)

Solution of triangles

12

The functions of the:programs are as follows:

GAUSS—Can complete a Guassian reduction of a
square matrix from 3x3 to 10x 10, display the
reduced matrix, and caiculate its determinant.

MATMUL—WIiII multiply an |x J matrix by aU x K
matrix, displaying an !x K matrix as the product.
lJ +JK must be less than or equal to 108.

MATINV—Will catculate the inverse of a square
matrix, from 3x3 to 6x6.

VECTOR—Provides all common vector operations in
three dimensions in both Cartesian and polar
coordinates: addition, subtraction, dot product, cross
product, angle between two vectors, and direct
conversion of a vector between rectangular and polar
coordinate systems. Chain operations are allowed.
The mode may be changed between polar and
rectangular at any point during program execution
without adversely affecting intermediate results.

COMPLEX—Provides for the most common complex
number arithmetic operations: addition, subtraction,
multiplication, division, calculation of magnitude,
conjugation, base-e logarithms, e to complex powers,
sines, cosines, arc sines, and arc cosines. Chain
operations are allowed.

ADVMATH—Provides 24 common trig functions in
degree or radian measure. It also provides logarithms
to any base and an exponentiation function which
can raise negative numbers to positive or integral
negative powers.

SIMEQ— Solves systems of up to nine Jinear
simultaneous equations for all unknowns. It can also
be used to complete a Gaussian reduction of
matrices from 2x2 to9x9.

PCALC—-Provides common polynomial functions and
calculus solutions for polynomials to the ninth order.
included are: evaluation of the polynomial at any
point, calculation of an exact derivative at any point,
calculation of an exact integral between any two
points, and Newtonian root search.

TRIANG—Will solve for the three common unknown
triangles (side-side-side, side-angle-side, angle-side-
angle) and also can solve from three Cartesian
coordinates. TRIANG solves for all sides and angles in
any angular unit (degrees, radians, or grads),
calculates area, and tests for equilateral, right,
Isoscoles, obtuse, and scalene properties.

13

Appendix B—Making a Backup

A Backup is a tape copy of a program and is an
extremely effective method of insuring that an
accident or equiornent fault will not result in the joss
of software. Your first action as owner of the
Engineering Math Il Package should be to make
working copies of the original cassette(s) and then
put the originals away in a safe place.

Although it may be possible to make direct copies
using two cassette recorders or on cassetie
duplicating equipment, the most reliable method is
to use the computer itself to make the Backups.
Also, for frequently used programs, you may wish to
put them on separate cassettes for easier loading.
Here are step-by-step instructions for making a
Backup:

1. Cannect the Cassette Interface to the cassette
recorder and instali the computer in the Cassette
Interface.

2. Place the cassette containing the program(s} to be
copied in the recorder and either rewind the tape
to the beginning or position the tape to a blank
area just prior to the desired program. Piace the
recorder in the “Play” mode. It is recommended
that the volume control setting be between & and

14

io)

46 on your recorder. if your recorder has a tone
control, set it at maximum treble.

. Turn on the computer, make sure that it is either

in the DEF mode or RUN mode and type in:
MOO XAID I) name 7) (name refers to the
name of the program to be copied). To make
absolutely sure that the program has loaded
correctly, use the loading verification procedure as

described in the sixth instruction of this appendix.

. When the program has been loaded into the

computer and the cassette has stopped, remove
the cassette and replace it with the cassette which
is to receive the program copy. Either rewind the
tape to the beginning or position it to the point
where the copy is to start. You should leave about
ten seconds of blank space if the copy is to follow
ancther program on the same cassette. Place the
recorder in the “Record” mode.

. Make sure that the computer is in either the DEF or

RUN mode and type in: (CX S°CAIIV EX) name
|). The recorder will save your program.

. Now rewind the cassette to the blank space just

prior to the program, put the recorder into the
“Play” mode and type in: COD OAD)
name ©).

This is the computer’s verifying function. The
recorder will start and compare the cassette copy
with the program in the computer’s memory. If the
copy-is good, the recorder will stop at the end of
the program and the prompt sign (>) will reappear
on the display. If an error occurred during the
verification, the display will show an error
message such as: 5.................

if the error message appears on the display, check
the recorder volume setting and try the CLOAD?
function once more. If you still get an error, the
tape copy is probably damaged. Use the CSAVE
function once more and verify the load. It is
recommended that you use Radio Shack Supertape
or TRS-80 certified cassettes for backing up your
Pocket Computer programs.

. Backup each program using Steps 1 through 6
above.

. Put the original cassettes away in a safe place and
use them only for making working copies.

15

- Appendix C—Maintenance

Maintenance of your Pocket Computer System is not
difficult. Attention to the simplest points listed

- below should provide the best reliability and
satisfaction:

1. Keep your program cassettes in their boxes when
not in use. Do not expose cassettes to
temperature extremes or magnetic fields. Never
touch the exposed surface of the tape on the front
edge of the cassette.

2. Clean: and demagnetize the tape heads in the
recorder at regular intervals. Follow the
recommendations in the cassette recorder’s
manual.

3. The most reliable loading and ‘saving is achieved
by ‘operating the cassette recorder on AC current,
rather than batteries.

4. Use only fresh alkaline-type batteries in the
recorder and Cassette Interface when operating
your system away from AC current.

5. Always press the recorder’s “Stop” key
immediately after loading or saving a program.
This will release the pressure on the rubber roller

16

which pulls the tape and prevent the roller from
developing a permanent “flat” at the point of contact
with the tape.

. Always turn the computer “OFF” before installing

it in or removing it from the Cassette Interface.

. After removing the computer from the Cassette

Interface, be sure to reinstall the protective plug to
keep dirt out of the connector on the computer.
Never touch the exposed parts on the Cassette
Interface.

RADIO SHACK SOFTWARE LICENSE

A. Radio Shack grants to CUSTOMER a non-exclusive. paid up license
to use on CUSTOMER'S computer the Radio Shack computer software
received. Title to the gedia:on*which the software is recorded (cassette
and/or disk) or stored (ROM) is transferred to the CUSTOMER, but not title
to the software.

B. In consideration for this license. CUSTOMER shall not reproduce

copies of Radio Shack software except to reproduce the number of copies
required for use on CUSTOMER'S computer (if the software allows a back-
up copy to be made). and shall include Radio Shack’s copyright notice on
all copies of software reproduced in whole or in part.

C. CUSTOMER may resell Radio Shack's system and applications soit-
ware (modified or not. in whole or in part). provided CUSTOMER has
purchased one copy of the software for each one resold. The provisions of
this software License (paragraphs A. B. and C) shall also be applicable to
third parties purchasing such software from CUSTOMER.

IMPORTANT NOTICE

é

ALL RADIO SHACK COMPUTER PROGRAMS ARE LICENSED ON AN
“AS IS” BASIS WITHOUT WARRANTY.

Radio Shack shall have no liability or responsibility to custonier or any:
other person or entity with respect to any liability, loss or damage caused or
alleged to be caused directly or indirectly by computer equipment or pro-
grams sold by Radio Shack. including but not limited to any interruption of,
service, loss of business or anticipatory profits or consequential damages
resulting from the use or operation of such cUmputer cz: computer programs.”
NOTE: Good data processing procedure dictates that the user test the
° program. run and test sample sets of data. and run the system in
parallel with the system previously in use for a period of time
adequate to insure that results of operation of the | computer or:
program are satisfactory

wu

RADIO SHACK Fg A DIVISION OF TANOY CORPORATION
U.S.A.: FORT WORTH, TEXAS 76102 -
CANADA: BARRIE, ONTARIO.L4M 4WS-
TANDY CORPORATION
" petgum’ i oxo UK .

AUSTRALIA oa ,
280-316 VICTORIARGAD PARC INDUSTRIEL OE NANINNE _ BILSTON.AOAD WEDNESBURY
RYOALMERE ,W.S.W. 2116 5140 NANINNE La miei TN

Ber Seek ; PRINTED IN USA. *

Or gimaaras, rma ee
al. 3586 = : ; 16 é.

TERMS AND CONDITIONS OF SALE AND LICENSE. OF RADIO SHACK COMPUTER EQUIPMENT AND SOFTWARE
PURCHASED FROM A RADIC SHACK COMPANY-OWNED COMPUTER CENTER, RETAIL STORE OR FROM A-
RADIO SHACK FRANCHISEE OR DEALER AT ITS AUTHORIZED LOCATION

LIMITED WARRANTY
CUSTOMER OBLIGATIONS

A. CUSTOMER assumes ful! responsibility that this Radio Shack computer hardware purchased (the ‘“Equipment’’}, and: any copies of Radio
Shack software included with the Equipment or licensed separately (the ‘‘Software'’} meets the specifications, capacity, capabilities,
versatility, and other requirements of CUSTOMER.

CUSTOMER assumes full responsibility for the condition and effectiveness of the operating environment in which the Equipment and Software
are to function, and for its installation

RADIO SHACK LIMITED WARRANTIES AND CONDITIONS OF SALE

A. For a period of nine’ ¥ (90) calendar days from the date of the Radio Shack sales document received upon purchase of the Equipment, RADIC

SHACK warrants to the original CUSTOMER that the Equipment and the medium upon which the Software is stored is free from manufacturing
defects. THIS WARRANTY IS ONLY APPLICABLE TO PURCHASES OF RADIO SHACK EQUIPMENT BY THE ORIGINAL CUSTOMER FROM
RADIO SHACK COMRANY-OWNED COMPUTER CENTERS, RETAIL STORES AND FROM RADIO SHACK FRANCHISEES AND DEALERS AT ITS
AUTHORIZED LOCATON. The warranty is void if the Equifiment’s case or cabinet has been opered, or if the Equipment or Software has been
subjected to improper or abnormal use. If a manufacturing defect is discovered during the stated warranty period, the defective Equipment
must be returned to a Radio Shack Computer Center, a Radio. Shack. retail store, participating Radio Shack franchisee or Radio Shack dealer
for repair, along with a copy of the sales document or lease agreement. The original CUSTOMER'S sole and exclusive remedy in the event of
a defect is limited to the correction of the defect by repair, Teplacement, or refund of the purchase price, at RADIO SHACK’S election and sole
expense. RADIO SHACK has no obligation to replace or repair. expendable items.
RADIO SHACK makes no warranty as to the design, capability, capacity, or suitability for use of the Software, except as provided in this
paragraph. Software is licensed on an “AS IS’ basis, withoUt warranty. The original CUSTOMER'S exclusive remedy, in.the event of a
Software manufacturing defect, is its repair or replacement within thirty: (30) calendar days of the date of the Radio Shack sales document
received upon license of the Software. The defective Software shall be returned to a Radio Shack Computer Center, a Radio Shack retail store,
participating Radio Shack franchisee or Radio Shack dealer along.with the sales document.

C. — Except is provided herein no employee, agent, franchisee, dealer or othér person:is authorized to give any warranties of any nature on behalf
of RADIO SHACK

D. — Except as provided herein, RADIO SHACK MAKES NO WARRANTIES, {INCLUDING | WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A
PARTICULAR PURPOSE.

E. Some states do not allow limitations on how long an implied warranty lasts, so the ‘above limitation(s) may not apply to CUSTOMER.

LIMITATION OF LIABILITY

A. — EXCEPT AS PROVIDED HEREIN, RADIO SHACK SHALL HAVE NO LIABILITY OR RESPONSIBILITY TO CUSTOMER OR ANY OTHER PERSON
OR ENTITY WITH RESPECT TO ANY LIABILITY, LOSS OR’ DAMAGE CAUSED OR ALLEGED 10 BE CAUSED DIRECTLY OR INDIRECTLY BY
“EQUIPMENT’’ OR “‘SOFTWARE™ SOLD, LEASED, LICENSED.OR FURNISHED BY RADIO SHACK, INCLUDING, BUT NOT LIMITED TO, ANY
INTERRUPTION OF SERVICE, LOSS OF BUSINESS OR ANTICIPATORY PROFITS OR CONSEQUENTIAL DAMAGES RESULTING FROM THE

~ IN.NO EVENT SHALL.RANIO SHACK AE CIARLE FOR 1 OSS OF PROFITS. OR __-.
ANY INDIRECT, SPECIAL, OR CONSEQUENTIAL DAMAGES ARISING OUT OF ANY BREACH OF THIS WARRANTY OR IN ANY MANNER
ARISING OUT OF OR CONNECTED WITH THE SALE, LEASE, LICENSE, USE OR ANTICIPATED USE OF THE “EQUIPMENT” OR ‘SOFTWARE’.

NOTWITHSTANDING THE ABOVE LIMITATIONS AND WARRANTIES, RADIO SHACK’S LIABILITY HEREUNDER FOR DAMAGES INCURRED BY
Paki OR OTHERS SHALL NOT EXCEED THE AMOUNT PAID 8Y CUSTOMER FOR THE PARTICULAR “EQUIPMENT” OR “SOFTWARE”
INVOLVED.

RADIO SHACK shall not be liable for any damages caused by delay in delivering ar furnishing Equipment and/or Software.

No action arising out of any claimed breach of this Warranty or transactions under this Warranty may be brought more than two (2) years
after the cause of action has accrued or more than four (4) years after the date of the Radio Shack sales document for the Equipment or
Software, whichever first occurs

Some states do not allow the limitation or exclusion of incidental or consequential damages, so the above limitation(s) or exclusion{s) may
not apply to CUSTOMER.

RADIO SHACK SOFTWARE LICENSE

RADIO SHACK grants to CUSTOMER a non-exclusive, paid-up license to use the RADIO SHACK Software on one computer, subject to the following

provisions:
Except as otherwise provided in this Software License, applicable copyright laws shall apply to the Software.

B. Title to the medium on which the Software is recorded (cassette and/or diskette) or stored (ROM) is transferred to CUSTOMER, but not title to
the Software.
CUSTOMER may use Software on one host computer and access that Software through one or more terminals if the Software permits this
function.
CUSTOMER shall not use, make, manufacture, or reproduce copies of Software except for use on one computer and as is specifically
provided in this Software License. Customer is expressly prohibited from disassembling the Software.
CUSTOMER is permitted to make additional copies of the Software any for backup or archival purposes or if additional copies are required in
the operation of one computer with the Software, but only to the extent the Software alfows a backup copy to be made. However, for
TRSDOS Software, CUSTOMER is permitted to make a limited number of additional copies for CUSTOMER'S own use.
CUSTOMER may resell or distribute unmodified copies of the Software provided CUSTOMER has.purchased one copy of the Software for each
‘one sold or distributed. The provisions of this Software License shall also be applicable to third parties receiving copies of the Software from
CUSTOMER.

G. Alt copyright notices shall be retained on all copies of the Software.

APPLICABILITY OF WARRANTY

A. The terms-and conditions of this Warranty are applicable as between RADIO SHACK and CUSTOMER to either a sale of the Equipment and/or
Software License to CUSTOMER or to a transaction whereby RADIO SHACK sells or conveys such Equipment to a third party for jease to
CUSTOMER.

The limitations of liability and Warranty provisions herein shail inure to the benefit of RADIO SHACK, the author, owner and/or licensor of the
Software and any manufacturer of the Equipment sold by RADIO SHACK.

STATE LAW RIGHTS

The warranties granted herein give the original CUSTOMER specific legal rights, and the original CUSTOMER may have other rights which vary
from state to state.

875-9186

a6. 35 96 ‘ BS ‘

Addendum for Engineering Math II (26-3526)

Please note the following corrections to the manual:

1. On Page 2, in the list of functions avaitabte in-program VECTOR, the
characters "“SHFT-" do NOT appear in the program's menu.

2. On page 5, in the list of functions available in program COMPLEX, the
eighth line is titled "antilog." When this option is selected, the
program will display "E*X." These are different names for the same
operation,

3. On Page 9, in the example problem for the logarithm function in program
’ ADVMATH, the answer is incorrectly shown as 3. The correct answer to
the sample problem is 2. ;
H hive 79 From A=W (G+s9e(s8))
To A = LV (B+89Rx(88-1))

875-9188